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Finding the Third Proportional to 42,037,197 and 63,356,473.50

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Solution

The third proportional to 42,037,197 and 63,356,473.50 is: 95,487,877.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,037,197 : 63,356,473.50 = 63,356,473.50 : x
  2. Step 2: Convert to fraction form
    42,037,197/63,356,473.50 = 63,356,473.50/x
  3. Step 3: Cross multiply
    42,037,197x = 63,356,473.50 × 63,356,473.50
  4. Step 4: Simplify right side
    42,037,197x = 4,014,042,734,356,202
  5. Step 5: Solve for x
    x = 4,014,042,734,356,202/42,037,197
  6. Step 6: Final answer
    x = 95,487,877.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.